de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

x^{''}-5x^'+4x=8e^t

Lösung

x^{^{''}} - 5 x^{^{'}} + 4 x = 8 e^{t}

Lösung

x = c_{1} e^{4 t} + c_{2} e^{t} - \frac{8 e ^{t} t}{3}

Schritte zur Lösung

x^{''} (t) - 5 x^{'} (t) + 4 x = 8 e^{t}

Solve linear ODE:

x = c_{1} e^{4 t} + c_{2} e^{t} - \frac{8 e ^{t} t}{3}

x = c_{1} e^{4 t} + c_{2} e^{t} - \frac{8 e ^{t} t}{3}

Graph

Beliebte Beispiele

y^{''}+9y=10e^{-t}

y^{^{''}} + 9 y = 10 e^{- t}

y^{''}+3y^'-4y=cos(2x)

y^{^{''}} + 3 y^{^{'}} - 4 y = cos (2 x)

y^{'''}-3y^{''}+3y^'-y=e^x

y^{^{'''}} - 3 y^{^{''}} + 3 y^{^{'}} - y = e^{x}

y^{^{''}} - y = 8

y^{''}+y=\H(t)-2\H(t-b/2)+\H(t-b)

y^{^{''}} + y = H (t) - 2 H (t - \frac{b}{2}) + H (t - b)